3-D Reconstruction of Three Views Based on Manifold Study

Obtaining 3-D reconstruction directly and expediently for the real world has became a hot topic in many fields. A 3-D reconstruction method of three views based on manifold study is proposed. Firstly, the fundamental matrix is estimated by adjacent view and optimized under three views constraint. Then 3-D point cloud is reconstructed after getting the projection matrixes of views. Further more, benefitting from minimum spanning tree, outliers are almost excluded. To increase point cloud’s density, the optimized 3-D point cloud is interpolated based on Radial Basis Function. Afterwards, the dense point cloud is mapped to two dimensional plane using manifold study algorithm, and then divided into plane Delaunay triangle nets. Completing that, the topological relations of points are mapped back to 3-D space and 3-D reconstruction is realized. Many experiments show the method proposed in paper can achieve 3-D reconstruction for three views with quite good results.